## Dividing a Segment into N parts:Besteman Construction II A Mathematical Droodle: What Is This About?

### This applet requires Sun's Java VM 2 which your browser may perceive as a popup. Which it is not. If you want to see the applet work, visit Sun's website at https://www.java.com/en/download/index.jsp, download and install Java VM and enjoy the applet.

 What if applet does not run?

Explanation

## Dividing a Segment into N parts:Besteman Construction II

The applet illustrates an algorithm for dividing a segment in N equal parts found by a college student, Nathan Besteman, and reported in the recent issue of Mathematics Teacher.

### This applet requires Sun's Java VM 2 which your browser may perceive as a popup. Which it is not. If you want to see the applet work, visit Sun's website at https://www.java.com/en/download/index.jsp, download and install Java VM and enjoy the applet.

 What if applet does not run?

The construction employs a well known property of angle bisectors in a triangle. In ΔACD, let DP be the angle bisector of angle D. Then